If three numbers are in H.P., then the n...

If three numbers are in H.P., then the numbers obtained by subtracting half of the middle number from each of them are in

A.P.

G.P.

H.P.

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ML KHANNA-PROGRESSIONS -PROBLEM SET - 5 (MULTIPLE CHOICE QUESTIONS)

If (1)/(b+c) , (1)/(c+a) and (1)/(a+b) are in AP, then a^(2), b^(2) an...
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If three numbers are in G.P., then the numbers obtained by adding the ...
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If three numbers are in H.P., then the numbers obtained by subtracting...
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If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...
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If a, b, c, d be four numbers of which the first three are in AP and t...
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If S(k) denotes the sum of first k terms of a G.P. Then, S(n),S(2n)-S(...
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If x, y, z be in A.P., then x + (1)/(yz), y + (1)/(zx), z + (1)/(xy) a...
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Let the positive numebrs a,b,c,d be in A.P. Then abc,abd,acd,bcd re (A...
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(1)/(b-a)+(1)/(b-c)=(1)/(a)+(1)/(c) then a,b,c are in:
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<b>if a,b, c, d and p are distinct real number such that (a^(2) + b^...
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sum(r = 1)^(10) (r)/(1 - 3r^(2) + r^(4))=
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If 21(a^(2) + b^(2) + c^(2)) = (a + 2b + 4c)^(2) then a, b, c are in
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If 4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca)," where "a,b,c are non-zero nu...
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alpha, beta, gamma are the geometric means between ca, ab, ab, bc, bc,...
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If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0) , then show tha...
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If a^(x) = b^(y) = c^(z) and a, b, c are in G.P. then x, y, z are in
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If a^(x) = b^(y) = c^(z) = d^(u) and a, b, c, d are in G.P. then x, y,...
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If for an exponential function y = a^(x) (a gt 0, ne 1) x(1), x(2),…x(...
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If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then ...
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If x,1,z are in A.P. and x,2,z are in G.P., then x,4,z are in
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